Question

Two common names for streets are Fourth Street and Main ​Street, with 15 comma 384 streets bearing one of these names. There are 312 more streets named Fourth Street than Main Street. How many streets bear each​ name?

Answer 1

Answer: No. of street bear "Fourth Street " as name= 7848

No. of street bear "Main ​Street" as name =7536

Explanation:

Given : Two common names for streets are Fourth Street and Main ​Street, with 15, 384 streets bearing one of these names.

Let x= No. of street bear name Fourth Street & y= No. of street bear name Main ​Street .

Then ,
`x+y=15384------------(1)`

There are 312 more streets named Fourth Street than Main Street.

i.e.
`x-y=312-------------------(2)`

Adding (1) and (2), we get

`2x=15696`

Divide both sides by 2 , we get

`x=7848`

Put value of x=7848 in (1), we get

`7848+y=15384\\\\\Rightarrow\ y=15384-7848=7536`

Hence, No. of street bear name Fourth Street = 7848

No. of street bear name Main ​Street =7536